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Susan intends selling cups of Milo at the local taxi rank for extra money - NSC Mathematical Literacy - Question 2 - 2019 - Paper 1

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Susan intends selling cups of Milo at the local taxi rank for extra money. Milo is a nutritious supplementary drink developed to provide active people with key vitam... show full transcript

Worked Solution & Example Answer:Susan intends selling cups of Milo at the local taxi rank for extra money - NSC Mathematical Literacy - Question 2 - 2019 - Paper 1

Step 1

2.1.1 Determine the unit price when purchasing Milo option 2.

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Answer

The unit price for Milo option 2 is calculated by taking the total cost of 1 kg of Milo and dividing it by the total weight in kg. This gives:

A=R97.951=R97.95A = \frac{R97.95}{1} = R97.95

Step 2

2.1.2 Determine the total cost of 6 L of milk.

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Answer

The cost for 1 L of milk is R11.99. Therefore, for 6 L:

Total Cost=6×R11.99=R71.94\text{Total Cost} = 6 \times R11.99 = R71.94

Step 3

2.1.3 Explain the meaning of the word cost price.

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Answer

Cost price refers to the total expenditure incurred in producing or purchasing a product before adding any profit margin. It includes all costs such as raw materials, labor, and overheads associated with the item.

Step 4

2.1.4 (a) Calculate A, the cost of Milo per cup.

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Answer

To calculate A, take the cost of Milo and divide by the number of cups it produces:

A=R97.9525=R3.92A = \frac{R97.95}{25} = R3.92

Step 5

2.1.4 (b) Determine B, the amount of milk, in litres, used for ONE cup of Milo.

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Answer

B=0.04L (from table entry)B = 0.04 L \text{ (from table entry)}

Step 6

2.1.4 (c) Write down the value of C, the cost of 25 foam cups.

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Answer

C=R12.75 (from table entry)C = R12.75 \text{ (from table entry)}

Step 7

2.1.4 (d) Show that the cost of ONE cup of Milo, D, is R7,29.

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Answer

The total cost D is the summation of the costs:

D=A+B+C+cost of other ingredientsD = A + B + C + \text{cost of other ingredients}

After substituting values, we derive: D=R3.92+R0.13+cost of other ingredients per cup=R7.29D = R3.92 + R0.13 + \text{cost of other ingredients per cup} = R7.29

Step 8

2.1.5 Determine the selling price of ONE cup of Milo if Susan's intended profit margin is 25%.

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Answer

To find the selling price, use the cost price and multiply by 1 plus the profit margin:

Selling Price=D×(1+0.25)=R7.29×1.25=R9.11\text{Selling Price} = D \times (1 + 0.25) = R7.29 \times 1.25 = R9.11

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